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Finding the Fourth Proportional to 882.24, 1,323.54 and 305.16

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Solution

The fourth proportional to 882.24, 1,323.54 and 305.16 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.24 : 1,323.54 = 305.16 : x
  2. Step 2: Convert to fraction form
    882.24/1,323.54 = 305.16/x
  3. Step 3: Cross multiply
    882.24x = 1,323.54 × 305.16
  4. Step 4: Simplify right side
    882.24x = 403,891.47
  5. Step 5: Solve for x
    x = 403,891.47/882.24
  6. Step 6: Final answer
    x = 457.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.